Recursive inseparability in linear logic

  • Stål Aanderaa
  • Herman Ruge Jervell
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 702)


We first give our version of the register machines to be simulated by proofs in propositional linear logic. Then we look further into the structure of the computations and show how to extract ”finite counter models” from this structure. In that way we get a version of Trakhtenbrots theorem without going through a completeness theorem for propositional linear logic. Lastly we show that the interpolant I in propositional linear logic of a provable formula A ⊸ B cannot be totally recursive in A and B.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Stål Aanderaa
    • 1
  • Herman Ruge Jervell
    • 2
  1. 1.University of OsloNorway
  2. 2.Universities of Oslo and TromsøNorway

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